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The point-curvature model for membrane protein inclusions is shown to capture multibody interactions very well. Using this model, we find that the interplay between membrane tension and multibody interactions results in a collective…

Soft Condensed Matter · Physics 2024-07-12 Jean-Baptiste Fournier

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon

We describe here a model for inelastic collisions for electronic excitation and deexcitation processes in a general, multifluid plasma. The model is derived from kinetic theory, and applicable to any mixture and mass ratio. The principle of…

Plasma Physics · Physics 2015-10-08 H. P. Le , J. -L. Cambier

We present a new finite deformation, dynamic finite element model that incorporates surface tension to capture elastocapillary effects on the electromechanical deformation of dielectric elastomers. We demonstrate the significant effect that…

Soft Condensed Matter · Physics 2016-04-14 Saman Seifi , Harold S. Park

Previous work introduced a lower-dimensional numerical model for the geometric nonlinear simulation and optimization of compliant pressure actuated cellular structures. This model takes into account hinge eccentricities as well as…

Quantitative Methods · Quantitative Biology 2017-07-31 Markus Pagitz , Remco I. Leine

We analyse here the problem of large deformation of dielectric elastomeric membranes under coupled electromechanical loading. Extremely large deformations (enclosed volume changes of 100 times and greater) of a toroidal membrane are studied…

Soft Condensed Matter · Physics 2021-04-14 Zhaowei Liu , Andrew McBride , Basant Lal Sharma , Paul Steinmann , Prashant Saxena

We make use of continuum elasticity theory to investigate the collective modes that propagate along the edge of a two-dimensional electron liquid or crystal in a magnetic field. An exact solution of the equations of motion is obtained with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Irene D'Amico , Giovanni Vignale

We propose a simple mathematical model to describe the mechanical relaxation of cells within a curved epithelial tissue layer represented by an arbitrary curve in two-dimensional space. This model generalises previous one-dimensional models…

Cellular Automata and Lattice Gases · Physics 2025-01-09 Pascal R. Buenzli , Shahak Kuba , Ryan J. Murphy , Matthew J. Simpson

The deformation of cellular membranes regulates trafficking processes, such as exocytosis and endocytosis. Classically, the Helfrich continuum model is used to characterize the forces and mechanical parameters that cells tune to accomplish…

Quantitative Methods · Quantitative Biology 2022-06-14 Sage Malingen , Padmini Rangamani

Curvature-sensing and curvature-remodeling proteins are known to reshape cell membranes, and this remodeling event is essential for key biophysical processes such as tubulation, exocytosis, and endocytosis. Curvature-inducing proteins can…

Biological Physics · Physics 2015-10-13 Richard W. Tourdot , N. Ramakrishnan , Ravi Radhakrishnan

Shapes of biological membranes are dynamically regulated in living cells. Although membrane shape deformation by proteins at thermal equilibrium has been extensively studied, nonequilibrium dynamics have been much less explored. Recently,…

Biological Physics · Physics 2020-11-19 Naoki Tamemoto , Hiroshi Noguchi

Membrane tubulation is a ubiquitous process that occurs both at the plasma membrane and on the membranes of intracellular organelles. These tubulation events are known to be mediated by forces applied on the membrane either due to motor…

Soft Condensed Matter · Physics 2020-12-03 Arijit Mahapatra , Can Uysalel , Padmini Rangamani

Dielectric elastomers are widely studied for their use in robotic and medical devices due to their shape changing properties. Recently, they have also been incorporated into acoustic devices, motivating the development of an electroacoustic…

Fluid Dynamics · Physics 2023-06-07 C. Solano , Y. Zhang , L. N. Cattafesta

The reaction-diffusion waves of proteins are known to be involved in fundamental cellular functions, such as cell migration, cell division, and vesicular transportation. In some of these phenomena, pattern formation on the membranes is…

Soft Condensed Matter · Physics 2021-07-16 Naoki Tamemoto , Hiroshi Noguchi

Integral membrane proteins deform the surrounding bilayer creating long-ranged forces that influence distant proteins. These forces can be attractive or repulsive, depending on the proteins' shape, height, contact angle with the bilayer, as…

Statistical Mechanics · Physics 2007-05-23 Tom Chou , Ken S. Kim , George Oster

An idealized electrostatically actuated microelectromechanical system (MEMS) involving an elastic plate with a heterogeneous dielectric material is considered. Starting from the electrostatic and mechanical energies, the governing evolution…

Analysis of PDEs · Mathematics 2017-07-06 Philippe Laurencot , Christoph Walker

In multicomponent membranes, internal scalar fields may couple to membrane curvature, thus renormalizing the membrane elastic constants and destabilizing the flat membranes. Here, a general elasticity theory of membranes is considered that…

Soft Condensed Matter · Physics 2018-03-07 S. Alex Rautu

In this paper, phase field models are developed for multi-component vesicle membranes with different lipid compositions and membranes with free boundary. These models are used to simulate the deformation of membranes under the elastic…

Biological Physics · Physics 2007-05-23 Xiaoqiang Wang , Qiang Du

A review of the present state of investigations of the pseudospin-electron model (PEM), which is used in the theory of strongly correlated electron systems, is given. The model is used to describe the systems with the locally anharmonic…

Strongly Correlated Electrons · Physics 2016-11-23 Ihor Stasyuk

The structure and function of biological molecules are strongly influenced by the water and dissolved ions that surround them. This aqueous solution (solvent) exerts significant electrostatic forces in response to the biomolecule's…

Numerical Analysis · Mathematics 2015-12-29 Matthew G. Knepley , Jaydeep P. Bardhan